SOLUTION: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 516

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 516      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 36184: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Equation
Letting x be the width
516=(18+2x)(13+2x)-(18*13)
516=4x%5E2%2B62x
x%5E2%2B15.5x-129=0
Solve that and you get
x=6
Hence the unifrom path is 6ft wide.
Paul.